Let us recall briefly the physical motivation for LLS equation, see [1]}, [2]} for more details.
A deterministic version of equation (REF ) was introduced in [3]} in order to study the magnetisation dynamics of ferromagnetic elements in presence of electric current. If the ferromagnetic element is small enough (100 nanometers) then the interaction between the electric current and the magnetisation results in the current-induced magnetisation switching and spin wave emission. It is expected that good understanding of those effects will allow us to develop new types of current-controlled magnetic memories and current controlled magnetic oscillators.
